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The Sea Island Mathematical Manual

1992 History
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Release : 1992
Genre : History
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis The Sea Island Mathematical Manual by : Frank J. Swetz

Download or read book The Sea Island Mathematical Manual written by Frank J. Swetz. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt: The Haidao Suanjing or Sea Island Mathematical Manual, is one of the "Ten Classics" of traditional Chinese mathematics, and its contents demonstrate the high standards of theoretical and mathematical sophistication present in early Chinese surveying theory. The Haidao composed in A.D. 263 by Liu Hui, established the mathematical procedures for much of East Asian surveying activity for the next one thousand years. The contents of the Haidao also testify to the ability of the Chinese to systematize mathematics and hint at the use of proof in Chinese mathematics, a concept usually associated with Greek mathematical thought. Frank Swetz provides an annotated translation of the Haidao and an analysis of its surveying problems. In particular, he details surveying techniques and undertakes a mathematical exposition of the Chinese chong cha solution procedures. The Haidao is a testimony to the ingenuity and skill of China's early surveyors and its author, Liu Hui. This study complements and extends the findings of Swetz's previous book, Was Pythagoras Chinese?An Examination of Right Triangle Theory in Ancient China.

The Sea Island Mathematical Manual: Surveying and Mathematics in Ancient China

1992 Mathematics, Chinese
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Release : 1992
Genre : Mathematics, Chinese
Kind : eBook
Book Rating : 438/5 ( reviews)

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Book Synopsis The Sea Island Mathematical Manual: Surveying and Mathematics in Ancient China by :

Download or read book The Sea Island Mathematical Manual: Surveying and Mathematics in Ancient China written by . This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt: An annotated translation and analysis of the Haidao Suanjing, a Chinese mathematical classic composed by Liu Hui in A.D. 263. All ancient societies practiced the art of land surveying. In fact, tradition tells us that geometry--land measure--had its origins in such surveying. However, an examination of early Western literature reveals few records concerning the practical uses of geometry and mathematics in the tasks of surveying. Recent research into the content and origins of early Chinese mathematics is beginning to reveal the existence of strong traditions and interest in the methodologies and applications of land survey. It is from these Chinese sources that a clearer picture of how people adapted mathematics and geometry to the needs of surveying emerges. The Haidao Suanjing, or Sea Island Mathematical Manual, is one of the "Ten Classics" of traditional Chinese mathematics, and its contents demonstrate the high standards of theoretical and mathematical sophistication present in early Chinese surveying theory. The Haidao established the mathematical procedures for much of East Asian surveying activity for the next one thousand years. The contents of the Haidao also testify to the ability of the Chinese to systematize mathematics and hint at the use of proof in Chinese mathematics, a concept usually associated with Greek mathematical thought. Frank Swetz provides an analysis of the Haidao's surveying problems. In particular, he details surveying techniques and undertakes a mathematical exposition of the Chinese chong cha solution procedures. The Haidao is a testimony to the ingenuity and skill of China's early surveyors and its author, Liu Hui. This study complements and extends the findings of Swetz's previous book, Was Pythagoras Chinese? An Examination of Right Triangle Theory in Ancient China

Was Pythagoras Chinese?

1977 Geometry
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Release : 1977
Genre : Geometry
Kind : eBook
Book Rating : 918/5 ( reviews)

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Book Synopsis Was Pythagoras Chinese? by : Frank J. Swetz

Download or read book Was Pythagoras Chinese? written by Frank J. Swetz. This book was released on 1977. Available in PDF, EPUB and Kindle. Book excerpt:

Sherlock Holmes in Babylon and Other Tales of Mathematical History

2022-04-26 Mathematics
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Release : 2022-04-26
Genre : Mathematics
Kind : eBook
Book Rating : 039/5 ( reviews)

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Book Synopsis Sherlock Holmes in Babylon and Other Tales of Mathematical History by : Marlow Anderson

Download or read book Sherlock Holmes in Babylon and Other Tales of Mathematical History written by Marlow Anderson. This book was released on 2022-04-26. Available in PDF, EPUB and Kindle. Book excerpt: Covering a span of almost 4000 years, from the ancient Babylonians to the eighteenth century, this collection chronicles the enormous changes in mathematical thinking over this time as viewed by distinguished historians of mathematics from the past and the present. Each of the four sections of the book (Ancient Mathematics, Medieval and Renaissance Mathematics, The Seventeenth Century, The Eighteenth Century) is preceded by a Foreword, in which the articles are put into historical context, and followed by an Afterword, in which they are reviewed in the light of current historical scholarship. In more than one case, two articles on the same topic are included to show how knowledge and views about the topic changed over the years. This book will be enjoyed by anyone interested in mathematics and its history - and, in particular, by mathematics teachers at secondary, college, and university levels.

The Nine Chapters on the Mathematical Art

1999 Language Arts & Disciplines
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Release : 1999
Genre : Language Arts & Disciplines
Kind : eBook
Book Rating : 360/5 ( reviews)

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Book Synopsis The Nine Chapters on the Mathematical Art by : Kangshen Shen

Download or read book The Nine Chapters on the Mathematical Art written by Kangshen Shen. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt: The Nine Chapters on the Mathematical Art has been the most important mathematical source in China for the past 2000 years, comparable in significance to Euclid's Elements in the West. The Nine Chapters quickly acquired a distinguished reputation, and was the standard mathematics textbook in China and the surrounding regions until Western science was introduced in about 1600. This volume contains the first complete English translation of the Nine Chapters, together with the illuminating commentary of Liu Hui written in the 3rd century AD and other early century commentaries and further insights provided by the translators. The Nine Chapters contains 246 problems and their solutions, which fall into nine categories that are firmly based on practical needs. There are methods for solving problems in areas such as land measurement, construction, agriculture, commerce, and taxation, while the Chinese commentators provide the algorithms needed to solve the problems, and explanations of how the algorithms work. The translators' commentary provides clear and accessible background material for the Western reader, explanations of technicalities, and notes on the treatment of similar or identical mathematical problems in other countries. This first, full-English translation gives us an idea of the distinctive style and important contributions that have been made by traditional Chinese mathematics.

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